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Finding the Fourth Proportional to 157,196, 216,952.44 and 100,727.68

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Solution

The fourth proportional to 157,196, 216,952.44 and 100,727.68 is: 139,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,196 : 216,952.44 = 100,727.68 : x
  2. Step 2: Convert to fraction form
    157,196/216,952.44 = 100,727.68/x
  3. Step 3: Cross multiply
    157,196x = 216,952.44 × 100,727.68
  4. Step 4: Simplify right side
    157,196x = 21,853,115,951.54
  5. Step 5: Solve for x
    x = 21,853,115,951.54/157,196
  6. Step 6: Final answer
    x = 139,018.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.